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An impulsive nonlinear singular version of the Gronwall-Bihari inequality

Journal of Inequalities and Applications20062006:84561

https://doi.org/10.1155/JIA/2006/84561

©  Tatar 2006

Received: 11 August 2005

Accepted: 20 October 2005

Published: 7 June 2006

Abstract

We find bounds for a Gronwall-Bihari type inequality for piecewise continuous functions. Unlike works in the prior literature, here we consider inequalities involving singular kernels in addition to functions with delays.

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Authors’ Affiliations

(1)
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals

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Copyright

© Tatar 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.